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Marta_Voda [28]
3 years ago
14

Trigonometry

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

\frac{2\pi}{3} radians is equal to 90°.

Step-by-step explanation:

Step 1:

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

If an angle is represented in degrees, it will be of the form x°.  

To convert radians to degrees, we multiply the radian measure by \frac{180}{\pi}.

For the conversion of radians to degrees,

the radians in degrees = (given value in radians)(\frac{180}{\pi}).

Step 2:

To convert  \frac{2\pi}{3},

\left(\frac{2 \pi}{3}\right)\left(\frac{180}{\pi}\right)=(2)(60),

(2)(60) = 120.

So \frac{2\pi}{3} radians is equal to 120°.

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Novay_Z [31]

Answer: Angles A and B are complementary angles

If Sin A ≈ 0.766 then Cos B ≈ 0.766.

If Cos B ≈ 0.766 then Sin A ≈ 0.766

Step-by-step explanation: In any given right angled triangle, one angle measures 90 degrees while the addition of the other two angles equals to 90 degrees. Hence if angle C is given as 90 degrees, then angles A and B added together equals 90 degrees (complementary angles equal 90 degrees).

Also, Sin A cannot be the same value as Sin B, since angle A and angle B are not equal in measurement. However, being complementary, the Sin of angle A equals the Cos of angle B.

If Sin A ≈ 0.766, then angle A ≈ 50 degrees

That makes angle B equal to 40 degrees. The Cos of B ≈ 0.766

Therefore if Sin A ≈ 0.766, then Cos B ≈ 0.766

If Cos B ≈ 0.766 then Sin A ≈ 0.766 are both correct

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3 years ago
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Answer: 554

Step-by-step explanation:

If prior population proportion is known, then the formula to find the sample size is given by :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

As per given description, we have

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E=0.025

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7 0
3 years ago
(a^3+14a^2+33a-20)\(a+4)
Oksi-84 [34.3K]
Perhaps you meant   <span>(a^3+14a^2+33a-20)   /   (a+4), for division by (a+4).  

Do you know synthetic division?  If so, that'd be a great way to accomplish this division.  Assume that (a+4) is a factor of </span>a^3+14a^2+33a-20; then assume that -4 is the corresponding root of a^3+14a^2+33a-20.

Perform synth. div.  If there is no remainder, then you'll know that (a+4) is a factor and will also have the quoitient.

-4  /   1   14   33   -20
     ___    -4_-40    28___________
          1   10   -7       8

Here the remainder is not zero; it's 8.  However, we now know that the quotient is 1a^2 + 10a - 7 with a remainder of 8.
8 0
3 years ago
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<span>x = 45 + 180*k OR Pi/4 + kPi, for k any integer</span>
7 0
3 years ago
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